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Finding the Fourth Proportional to 463.56, 638.76 and 380.40

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Solution

The fourth proportional to 463.56, 638.76 and 380.40 is: 524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 638.76 = 380.40 : x
  2. Step 2: Convert to fraction form
    463.56/638.76 = 380.40/x
  3. Step 3: Cross multiply
    463.56x = 638.76 × 380.40
  4. Step 4: Simplify right side
    463.56x = 242,984.30
  5. Step 5: Solve for x
    x = 242,984.30/463.56
  6. Step 6: Final answer
    x = 524.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.